# How can I physically generate a square with two 4x4 squares, three 3x3 squares, four 2x2 squares and 4 1x1 squares?

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"George has two 4x4 squares, three 3x3 squares, four 2x2 squares, and four 1x1 squares. Draw a diagram to show how she could place some or all of these squares together without gaps or overlaps to make a square that is a big as possible." (From Math Quest 11)

Please provide a visual diagram.

"George has two 4x4 squares, three 3x3 squares, four 2x2 squares, and four 1x1 squares. Draw a diagram to show how she could place some or all of these squares together without gaps or overlaps to make a square that is a big as possible." (From Math Quest 11)

Please provide a visual diagram.

The maximum possible size is

Though the given squares are large enough to cover a total area of

The largest possible square is

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Make a square with an area of

If you work out the total area of all the squares, we have:

Note the use of the phrase, "....how she could place all or some of them"... meaning you can have some squares left over.

I am not able to give a drawing, but with these hints to get you started, I am sure you will manage.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- Two rhombuses have sides with lengths of #8 #. If one rhombus has a corner with an angle of #pi/2 # and the other has a corner with an angle of #(3pi)/8 #, what is the difference between the areas of the rhombuses?
- A parallelogram has sides with lengths of #7 # and #16 #. If the parallelogram's area is #28 #, what is the length of its longest diagonal?
- Two opposite sides of a parallelogram each have a length of #12 #. If one corner of the parallelogram has an angle of #(5 pi)/12 # and the parallelogram's area is #150 #, how long are the other two sides?
- A parallelogram has sides with lengths of #18 # and #4 #. If the parallelogram's area is #36 #, what is the length of its longest diagonal?
- How can you make a quadrilateral rigid?

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